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Simplifying 4(2a + 6) + 7 = 5(3a + 2) + -3a + -19 Reorder the terms: 4(6 + 2a) + 7 = 5(3a + 2) + -3a + -19 (6 * 4 + 2a * 4) + 7 = 5(3a + 2) + -3a + -19 (24 + 8a) + 7 = 5(3a + 2) + -3a + -19 Reorder the terms: 24 + 7 + 8a = 5(3a + 2) + -3a + -19 Combine like terms: 24 + 7 = 31 31 + 8a = 5(3a + 2) + -3a + -19 Reorder the terms: 31 + 8a = 5(2 + 3a) + -3a + -19 31 + 8a = (2 * 5 + 3a * 5) + -3a + -19 31 + 8a = (10 + 15a) + -3a + -19 Reorder the terms: 31 + 8a = 10 + -19 + 15a + -3a Combine like terms: 10 + -19 = -9 31 + 8a = -9 + 15a + -3a Combine like terms: 15a + -3a = 12a 31 + 8a = -9 + 12a Solving 31 + 8a = -9 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 31 + 8a + -12a = -9 + 12a + -12a Combine like terms: 8a + -12a = -4a 31 + -4a = -9 + 12a + -12a Combine like terms: 12a + -12a = 0 31 + -4a = -9 + 0 31 + -4a = -9 Add '-31' to each side of the equation. 31 + -31 + -4a = -9 + -31 Combine like terms: 31 + -31 = 0 0 + -4a = -9 + -31 -4a = -9 + -31 Combine like terms: -9 + -31 = -40 -4a = -40 Divide each side by '-4'. a = 10 Simplifying a = 10
| 8x+5.04=4x+11 | | 120=5x+20*2x | | 7=12y-5y | | .33(x+6)=.5(x-3) | | s-10=20.78 | | 4y^2-11y+21=0 | | 7p-(3p+4)=2(2p-1)-2 | | -6x-y=4 | | 13-ax=1-x | | 5x/12-4x/18 | | 22+-8x=4+-2x | | f(x)=2x^2-16x+29 | | h=288-16t^2 | | 18+6x=4y+16 | | 8b-6=-22 | | c=5f/9-32 | | 3(7x+4)=30-3x | | 7=-15-2y | | 15x+7th=80 | | 4x-18=-38-3x | | 8(0.04m+26.90+0.10(26.90))=260.40 | | 8b-6=-22 | | 7.91x+79.1=158.2 | | 2.5+10m=7.87 | | 2y+36=4y-15 | | 24=4(5x+2) | | x=x^2+18x+84 | | 26-4y=-2x | | 3x+17=3x-2 | | 33=3.3x | | -14+8x=-8+5x | | 6(.07m+24.90+.30(24.90))=225.30 |